Tilting Dimensions of Skew Group Algebras

This paper introduced the concept of tilting projective modules, which are based on tilting theory, and studied its basic properties. Furthermore, the definition of tilting projective dimension of modules and tilting global dimension of algebras were introduced. Let G be a finite group, the relation about tilting global dimension between Artin R-algebras Λ and skew group algebra ΛG, was discussed obtaining that t.gl.dim(Λ)=t.gl.dim(ΛG).